How to properly organize deployment and tests?

Question

git

Hello!
Situation:
- We are developing several web projects on php/mysql/vue/js, repositories in Bitbacket, deploy via teamcity
- There is practically no division into branches
- No auto tests
- docker is not used
- the team is small, there is no dedicated qa
Task:
- Translate the development into branches - For each branch
, automatically create a separate web environment in a test environment for visual testing
- Implement automatic tests and run them for all commits
Solution:
In TeamCity, make a deployment that, on each commit : branch from the repository
- Runs a test environment via docker for this branch on the domain: branch-name.test.domain.com (if such an environment is already running, it kills the old one and starts the new one)
- Runs tests and, accordingly, signals the success of their execution (or separate commands through teamcity, or a script in the dockerfile)
Is this the optimal solution?