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Mozilla Firefox 107.0b3 (64-bit), Tampermonkey 4.18.0 (1 October 2022) — after clicking on the download button, the animation rotates, but the video does not download.
I tested and it working fine.
Does you already change download mode to Browser API in Tampermonkey settings?
Tampermonkey 4.18 has some issues
Try to disable Tampermonkey, restart browser, re-enable Tampermonkey
Detials: https://github.com/Tampermonkey/tampermonkey/issues/1617
Mozilla Firefox 103.0 (64-bit), Tampermonkey 4.17.6161 (11 June 2022) — the video downloads OK. Thank you!