fix: preserve archive filter directory context

[RabbiIslamRony]

Summary

• preserve each configured archive module directory when resolving its filter form
• reset controls and selection state inside the active search modal
• rebuild the affected public search bundle

Validation

• wp eval: archive context stayed classified even with a stale request value; search results still honor the requested directory
• browser QA: an advanced-modal checkbox and its selected UI state clear on Reset Filters
• php -l includes/model/Listings.php

Known QA environment issue

• PHPCS cannot complete because the installed WPCS version is incompatible with the current PHP runtime; it also reports unrelated existing tab-indentation issues at lines 2616-2620.

[RabbiIslamRony]

Closing to recreate this PR from the requested development base and remote branch.