Remove legacy `shared/members/update.js.haml` in favor of vanilla JS

What does this MR do?

See #250843 (closed)

Part #21320, a larger initiative to remove all the *.js.haml templates.

This MR removes the legacy shared/members/update.js.haml template in favor of a vanilla JS solution. It affects changing the expiration date for members of projects and groups.

Local testing

Groups

1. Create a group or project
2. Navigate to Group or project -> "Members".
3. Invite a member
4. Changed the member's "Expiration date". The text next to the avatar should say "Expires in ..."

Screenshots

No visual changes

Does this MR meet the acceptance criteria?

Conformity

• [-] Changelog entry
  • Not needed, backstage change
• [-] Documentation (if required)
• Code review guidelines
• Merge request performance guidelines
• Style guides
• [-] Database guides
• Separation of EE specific content

Availability and Testing

• Review and add/update tests for this feature/bug. Consider all test levels. See the Test Planning Process.
• Tested in all supported browsers
• [-] Informed Infrastructure department of a default or new setting change, if applicable per definition of done

Security

If this MR contains changes to processing or storing of credentials or tokens, authorization and authentication methods and other items described in the security review guidelines:

• [-] Label as security and @ mention @gitlab-com/gl-security/appsec
• [-] The MR includes necessary changes to maintain consistency between UI, API, email, or other methods
• [-] Security reports checked/validated by a reviewer from the AppSec team