Gif generation is broken for games using again/run rules on start

[Auroriax]

Describe the bug
Someone on Discord reached out to note some cases where the gif generation is broken. Specifically, it doesn´t do what the player wanted to do in a number of cases, speculating that again or run_rules_on_level_start would be the culprits.
(Not a super high priority issue, if you want to make gifs in the meanwhile, you can use LiceCap or similar tools.)

Reproduction Steps

1. Open example project (QQQ make minimal repro)
2. Open level, do some steps
3. Generate a gif, shows different states as through what you just played

What did you expect would happen?
GIF shows the same steps I performed in the level

OS & Browser version, desktop/mobile
Can reproduce on Ubuntu 22, Firefox, desktop.

Screenshots, example projects, other relevant issues, etc.
TODO