[SG-32438] Migrate from the `reactstrap` `Form` component to `Form` from the `branded` package

Created by: gitstart-sourcegraph

Description

We want to get rid of Bootstrap styles. Since reactstrap depends on bootstrap styles, we need to extract component implementations that we use.

Success Criteria

• All Form imports from reactstrap are removed.
• Reactstrap Form usages migrated to the Form component defined in the branded package.

Implementation Details

After migration, ensure that input validation works correctly on migrated pages.

Refs

• Sourcegraph Issue
• Gitstart Ticket

Preview Apps

• https://client-sourcegraph-frontend-pr-279.onrender.com/
• https://client-sourcegraph-storybook-pr-279.onrender.com/

Loom Video

Link

Test plan

Compare the UI and Functionality of the changes page in between local and deployed webapp Check if input validation works correctly on migrated pages.