feat: Earthfile flutter integration tests

[kukkok3]

Description

This PR moves web integration tests from github workflow to earthly. It currently runs only chrome and firefox. Support for edge is already there but for now tests are failing due to a flutter bug We will also need to add support for Safari in the future

Related Issue(s)

List the issue numbers related to this pull request.

Description of Changes

Provide a clear and concise description of what the pull request changes.

Breaking Changes

Describe any breaking changes and the impact.

Screenshots

If applicable, add screenshots to help explain your changes.

Related Pull Requests

If applicable, list any related pull requests.

e.g., #1, #1

Please confirm the following checks

• My code follows the style guidelines of this project
• I have performed a self-review of my code
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• New and existing unit tests pass locally with my changes
• Any dependent changes have been merged and published in downstream module

[github-actions]

✅ Test Report | ${\color{lightgreen}Pass: 10/10}$ | ${\color{red}Fail: 0/10}$ |

[minikin]

Thank you @kukkok3 , LGTM!