voici ce que j'ai fait :
puis il m'indique cela :# sudo mintupgrade
Running check 'Phase 1 : Préparation'
=================
APT Repositories:
=================
Repos:
No active apt repos in: /etc/apt/sources.list
Active apt repos in: /etc/apt/sources.list.d/official-package-repositories.list
1: deb http://packages.linuxmint.com faye main upstream import backport
2: deb https://deb.debian.org/debian bookworm main contrib non-free non-free-firmware
3: deb https://deb.debian.org/debian bookworm-updates main contrib non-free non-free-firmware
4: deb http://security.debian.org bookworm-security main contrib non-free non-free-firmware
5: deb https://deb.debian.org/debian bookworm-backports main contrib non-free non-free-firmware
No active apt repos in: /etc/apt/sources.list.d/playonlinux.list
=================
Running check 'Version de Linux Mint'
Check succeeded: Version de Linux Mint
Running check 'Source d'alimentation'
Check succeeded: Source d'alimentation
Running check 'Cache APT'
rm -rf /var/lib/apt/lists/*
DEBIAN_PRIORITY=critical apt-get update
Get:1 http://security.debian.org bookworm-security InRelease [48.0 kB]
Get:2 https://deb.debian.org/debian bookworm InRelease [151 kB]
Ign:3 http://packages.linuxmint.com faye InRelease
Get:4 https://deb.debian.org/debian bookworm-updates InRelease [55.4 kB]
Get:5 http://security.debian.org bookworm-security/main i386 Packages [277 kB]
Get:6 https://deb.debian.org/debian bookworm-backports InRelease [59.4 kB]
Get:7 http://packages.linuxmint.com faye Release [22.2 kB]
Get:8 https://deb.debian.org/debian bookworm/main amd64 Packages [8791 kB]
Get:9 http://packages.linuxmint.com faye Release.gpg [833 B]
Get:10 http://security.debian.org bookworm-security/main amd64 Packages [284 kB]
Get:11 http://packages.linuxmint.com faye/main amd64 Packages [16.7 kB]
Get:12 http://security.debian.org bookworm-security/main Translation-en [172 kB]
Get:13 http://packages.linuxmint.com faye/main i386 Packages [16.7 kB]
Get:14 http://packages.linuxmint.com faye/main i386 Contents (deb) [911 kB]
Get:15 http://security.debian.org bookworm-security/contrib i386 Packages [508 B]
Get:16 http://security.debian.org bookworm-security/contrib amd64 Packages [896 B]
Get:17 http://security.debian.org bookworm-security/contrib Translation-en [652 B]
Get:18 http://security.debian.org bookworm-security/non-free-firmware i386 Packages [692 B]
Get:19 http://security.debian.org bookworm-security/non-free-firmware amd64 Packages [688 B]
Get:20 http://security.debian.org bookworm-security/non-free-firmware Translation-en [472 B]
Get:21 http://packages.linuxmint.com faye/main amd64 Contents (deb) [911 kB]
Get:22 http://packages.linuxmint.com faye/upstream amd64 Packages [40.6 kB]
Get:23 http://packages.linuxmint.com faye/upstream i386 Packages [41.1 kB]
Get:24 http://packages.linuxmint.com faye/upstream amd64 Contents (deb) [33.6 kB]
Get:25 http://packages.linuxmint.com faye/upstream i386 Contents (deb) [33.2 kB]
Get:26 http://packages.linuxmint.com faye/import i386 Packages [16.7 kB]
Get:27 http://packages.linuxmint.com faye/import amd64 Packages [17.4 kB]
Get:28 http://packages.linuxmint.com faye/import amd64 Contents (deb) [57.8 kB]
Get:29 http://packages.linuxmint.com faye/import i386 Contents (deb) [56.1 kB]
Get:30 http://packages.linuxmint.com faye/backport amd64 Packages [34.6 kB]
Get:31 http://packages.linuxmint.com faye/backport i386 Packages [34.6 kB]
Get:32 http://packages.linuxmint.com faye/backport amd64 Contents (deb) [53.4 kB]
Get:33 http://packages.linuxmint.com faye/backport i386 Contents (deb) [53.4 kB]
Get:34 https://deb.debian.org/debian bookworm/main i386 Packages [8684 kB]
Get:35 https://deb.debian.org/debian bookworm/main Translation-en [6109 kB]
Get:36 https://deb.debian.org/debian bookworm/main amd64 DEP-11 Metadata [4492 kB]
Get:37 https://deb.debian.org/debian bookworm/main i386 Contents (deb) [11.2 MB]
Get:38 https://deb.debian.org/debian bookworm/main all Contents (deb) [34.0 MB]
Get:39 https://deb.debian.org/debian bookworm/main amd64 Contents (deb) [11.6 MB]
Get:40 https://deb.debian.org/debian bookworm/contrib amd64 Packages [53.5 kB]
Get:41 https://deb.debian.org/debian bookworm/contrib i386 Packages [46.0 kB]
Get:42 https://deb.debian.org/debian bookworm/contrib Translation-en [48.4 kB]
Get:43 https://deb.debian.org/debian bookworm/contrib amd64 DEP-11 Metadata [16.5 kB]
Get:44 https://deb.debian.org/debian bookworm/contrib amd64 Contents (deb) [61.0 kB]
Get:45 https://deb.debian.org/debian bookworm/contrib all Contents (deb) [98.6 kB]
Get:46 https://deb.debian.org/debian bookworm/contrib i386 Contents (deb) [37.3 kB]
Get:47 https://deb.debian.org/debian bookworm/non-free amd64 Packages [102 kB]
Get:48 https://deb.debian.org/debian bookworm/non-free i386 Packages [73.5 kB]
Get:49 https://deb.debian.org/debian bookworm/non-free Translation-en [68.1 kB]
Get:50 https://deb.debian.org/debian bookworm/non-free amd64 DEP-11 Metadata [4428 B]
Get:51 https://deb.debian.org/debian bookworm/non-free amd64 Contents (deb) [81.9 kB]
Get:52 https://deb.debian.org/debian bookworm/non-free all Contents (deb) [839 kB]
Get:53 https://deb.debian.org/debian bookworm/non-free i386 Contents (deb) [27.0 kB]
Get:54 https://deb.debian.org/debian bookworm/non-free-firmware i386 Packages [5904 B]
Get:55 https://deb.debian.org/debian bookworm/non-free-firmware amd64 Packages [6368 B]
Get:56 https://deb.debian.org/debian bookworm/non-free-firmware Translation-en [20.9 kB]
Get:57 https://deb.debian.org/debian bookworm/non-free-firmware amd64 DEP-11 Metadata [15.5 kB]
Get:58 https://deb.debian.org/debian bookworm/non-free-firmware all Contents (deb) [16.9 kB]
Get:59 https://deb.debian.org/debian bookworm/non-free-firmware amd64 Contents (deb) [1198 B]
Get:60 https://deb.debian.org/debian bookworm/non-free-firmware i386 Contents (deb) [1068 B]
Get:61 https://deb.debian.org/debian bookworm-updates/main amd64 Packages [6924 B]
Get:62 https://deb.debian.org/debian bookworm-updates/main i386 Packages [6924 B]
Get:63 https://deb.debian.org/debian bookworm-updates/main Translation-en [5448 B]
Get:64 https://deb.debian.org/debian bookworm-updates/main all Contents (deb) [46.3 kB]
Get:65 https://deb.debian.org/debian bookworm-updates/main amd64 Contents (deb) [17.1 kB]
Get:66 https://deb.debian.org/debian bookworm-updates/main i386 Contents (deb) [17.1 kB]
Get:67 https://deb.debian.org/debian bookworm-backports/main i386 Packages [290 kB]
Get:68 https://deb.debian.org/debian bookworm-backports/main amd64 Packages [296 kB]
Get:69 https://deb.debian.org/debian bookworm-backports/main Translation-en [250 kB]
Get:70 https://deb.debian.org/debian bookworm-backports/main i386 Contents (deb) [705 kB]
Get:71 https://deb.debian.org/debian bookworm-backports/main all Contents (deb) [4194 kB]
Get:72 https://deb.debian.org/debian bookworm-backports/main amd64 Contents (deb) [907 kB]
Get:73 https://deb.debian.org/debian bookworm-backports/contrib amd64 Packages [5856 B]
Get:74 https://deb.debian.org/debian bookworm-backports/contrib i386 Packages [5728 B]
Get:75 https://deb.debian.org/debian bookworm-backports/contrib Translation-en [5864 B]
Get:76 https://deb.debian.org/debian bookworm-backports/contrib amd64 Contents (deb) [18.8 kB]
Get:77 https://deb.debian.org/debian bookworm-backports/contrib i386 Contents (deb) [18.7 kB]
Get:78 https://deb.debian.org/debian bookworm-backports/contrib all Contents (deb) [23.9 kB]
Get:79 https://deb.debian.org/debian bookworm-backports/non-free i386 Packages [9492 B]
Get:80 https://deb.debian.org/debian bookworm-backports/non-free amd64 Packages [13.3 kB]
Get:81 https://deb.debian.org/debian bookworm-backports/non-free Translation-en [8460 B]
Get:82 https://deb.debian.org/debian bookworm-backports/non-free i386 Contents (deb) [3507 B]
Get:83 https://deb.debian.org/debian bookworm-backports/non-free amd64 Contents (deb) [12.3 kB]
Get:84 https://deb.debian.org/debian bookworm-backports/non-free all Contents (deb) [42.1 kB]
Get:85 https://deb.debian.org/debian bookworm-backports/non-free-firmware amd64 Packages [3828 B]
Get:86 https://deb.debian.org/debian bookworm-backports/non-free-firmware i386 Packages [3644 B]
Get:87 https://deb.debian.org/debian bookworm-backports/non-free-firmware Translation-en [2860 B]
Get:88 https://deb.debian.org/debian bookworm-backports/non-free-firmware all Contents (deb) [23.2 kB]
Get:89 https://deb.debian.org/debian bookworm-backports/non-free-firmware amd64 Contents (deb) [216 B]
Fetched 96.9 MB in 1min 34s (1031 kB/s)
Reading package lists...
Check succeeded: Cache APT

comment puis-je corriger cela ?
merci d'avance.
à bientôt.