Improve innerHTML handling in code

[HarelM]

Launch Checklist

Improve code around innerHTML, it should not affect attribution in case everything is OK.

• Confirm your changes do not include backports from Mapbox projects (unless with compliant license) - if you are not sure about this, please ask!
• Briefly describe the changes in this PR.
• Write tests for all new functionality.
• Add an entry to CHANGELOG.md under the ## main section.

[codecov]

Codecov Report

Attention: Patch coverage is 82.05128% with 7 lines in your changes missing coverage. Please review.

Project coverage is 89.17%. Comparing base (b9e001d) to head (9cb8e0c).
Report is 144 commits behind head on main.

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
src/util/dom.ts	77.41%	3 Missing and 4 partials ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5057      +/-   ##
==========================================
+ Coverage   89.07%   89.17%   +0.10%     
==========================================
  Files         269      269              
  Lines       38320    38351      +31     
  Branches     2361     2357       -4     
==========================================
+ Hits        34135    34201      +66     
+ Misses       3190     3149      -41     
- Partials      995     1001       +6     

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[HarelM]

Unfortunately, coverage is not working well, I have manually tested that the relevant places in the code are covered with tests.