Move my project from public_html/web to public_html
You should be able to change the installer paths in composer.json, which defines where the files are placed:

"installer-paths": {
  "web/core": ["type:drupal-core"],
  "web/modules/contrib/{$name}": ["type:drupal-module"],
  "web/profiles/contrib/{$name}": ["type:drupal-profile"],
  "web/themes/contrib/{$name}": ["type:drupal-theme"],
  "drush/contrib/{$name}": ["type:drupal-drush"]
},


to:

"installer-paths": {
  "public_html/core": ["type:drupal-core"],
  "public_html/modules/contrib/{$name}": ["type:drupal-module"],
  "public_html/profiles/contrib/{$name}": ["type:drupal-profile"],
  "public_html/themes/contrib/{$name}": ["type:drupal-theme"],
  "drush/contrib/{$name}": ["type:drupal-drush"]
},


You can then rename the web folder to public_html and everything should work.