Fix tooltips for the new graphical auto-evo buttons

[dligr]

Brief Description of What This PR Does

Fixes the new auto-evo buttons' species preview tooltips behaving weirdly.

Related Issues

Fixes #5523

Based on my testing, it wasn't an engine issue. Rather, it happened because TooltipManager only hides 'previous' tooltips, while the species tooltip sometimes didn't become a 'previous' tooltip, causing it to not be hidden.

Progress Checklist

Note: before starting this checklist the PR should be marked as non-draft.

• [x] PR author has checked that this PR works as intended and doesn't break existing features: https://wiki.revolutionarygamesstudio.com/wiki/Testing_Checklist (this is important as to not waste the time of Thrive team members reviewing this PR)
• [x] Initial code review passed (this and further items should not be checked by the PR author)
• [x] Functionality is confirmed working by another person (see above checklist link)
• [ ] Final code review is passed and code conforms to the styleguide.

Before merging all CI jobs should finish on this PR without errors, if there are automatically detected style issues they should be fixed by the PR author. Merging must follow our styleguide.

[hhyyrylainen]

I think this improved things. I put one more commit on this branch to make this fully similar to how the rich text mouse leave is handled.