According to your logs, the docker container is not seeing the Nvidia card.
Mar 09, 2023 14:36:00.033 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] MDE: : selected media 0 / -1
Mar 09, 2023 14:36:00.033 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] Cleaning directory for session 2d856eea-1b51-4d04-a72a-5146335d8b54 ()
Mar 09, 2023 14:36:00.033 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] Starting a transcode session 2d856eea-1b51-4d04-a72a-5146335d8b54 at offset -1.0 (state=3)
Mar 09, 2023 14:36:00.033 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] Streaming Resource: Added session 0x7f888d8767c8:2d856eea-1b51-4d04-a72a-5146335d8b54
Mar 09, 2023 14:36:00.034 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] TPU: hardware transcoding: enabled, but no hardware decode accelerator found
Mar 09, 2023 14:36:00.034 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e] TPU: hardware transcoding: final decoder: , final encoder:
Mar 09, 2023 14:36:00.034 [0x7f888d051b38] DEBUG - [Req#324/Grabber/5fc76e0a7a5882002d878c53-5fc705e24c4901002fec3d5f-c27179deff5b2d02b5a5b6c03bc1998e/JobRunner] Job running: FFMPEG_EXTERNAL_LIBS='/config/Library/Application\ Support/Plex\ Media\ Server/Codecs/7e8dc7a-4467-linux-x86_64/' X_PLEX_TOKEN=xxxxxxxxxxxxxxxxxxxx4345-a0bb-a402589211a3 "/usr/lib/plexmediaserver/Plex Transcoder" -noaccurate_seek -ignore_unknown -scan_all_pmts -1 -rw_timeout 30000000 -reconnect 1 -reconnect_streamed 1 -reconnect_delay_max 30 -fflags +discardcorruptts+fillwallclockdts -probesize 20000000 -i http://192.168.10.12:34400/stream/7c65b527f49fc5c0d5781b0d3850f395 -map "0:V?" -codec:V copy -map "0:a?" -codec:a copy -map "0:s?" -codec:s copy -break_non_keyframes 1 -segment_format mpegts -f ssegment -individual_header_trailer 0 -segment_time 1 -segment_start_number 0 -segment_time_delta 0.25 -segment_list "http://127.0.0.1:32400/video/:/transcode/session/2d856eea-1b51-4d04-a72a-5146335d8b54/5a28a7c2-7907-488a-9207-a0fd1ee93e3e/manifest?X-Plex-Http-Pipeline=infinite" -segment_list_type csv -segment_list_size 5 -segment_list_separate_stream_times 1 -segment_list_unfinished 1 -max_delay 5000000 -map_metadata -1 -map_chapters -1 "media-%05d.ts" -y -nostats -loglevel quiet -loglevel_plex error -xioerror -progressurl http://127.0.0.1:32400/video/:/transcode/session/2d856eea-1b51-4d04-a72a-5146335d8b54/5a28a7c2-7907-488a-9207-a0fd1ee93e3e/progress
If you docker exec -it into the container and type ls -la /dev/dri what do you see ?
You should see card0 and renderD128
Now come back outside the container and check /dev/dri again, You should see them there too.
Check this because nvidia-smi can see the card outside the container.