Linking against static FFmpeg that has VAAPI support enabled causes build to fail

[14/2218] Linking CXX shared module qtbase/plugins/multimedia/libffmpegmediaplugin.so
FAILED: qtbase/plugins/multimedia/libffmpegmediaplugin.so
..
/usr/bin/ld: /usr/local/ffmpeg/7.1/lib/libavutil.a(hwcontext_vaapi.o): in function `vaapi_device_derive':
/home/user/ffmpeg-7.1/libavutil/hwcontext_vaapi.c:2044: undefined reference to `vaGetDisplayDRM'
/usr/bin/ld: /usr/local/ffmpeg/7.1/lib/libavutil.a(hwcontext_vaapi.o): in function `vaapi_device_create':
/home/user/projects/ffmpeg-7.1/libavutil/hwcontext_vaapi.c:1846: undefined reference to `vaGetDisplayDRM'
/usr/bin/ld: /home/user/ffmpeg-7.1/libavutil/hwcontext_vaapi.c:1864: undefined reference to `vaGetDisplay'
collect2: error: ld returned 1 exit status