feat: do not include kube-api check in application liveness flow

[olegsu]

Fix #4154
Checklist:

• Either (a) I've created an enhancement proposal and discussed it with the community, (b) this is a bug fix, or (c) this does not need to be in the release notes.
• The title of the PR states what changed and the related issues number (used for the release note).
• I've updated both the CLI and UI to expose my feature, or I plan to submit a second PR with them.
• Optional. My organization is added to USERS.md.
• I've signed the CLA and my build is green (troubleshooting builds).

[codecov-commenter]

Codecov Report

Merging #4163 into master will increase coverage by 0.11%.
The diff coverage is 0.00%.

@@            Coverage Diff             @@
##           master    #4163      +/-   ##
==========================================
+ Coverage   42.81%   42.92%   +0.11%     
==========================================
  Files         124      124              
  Lines       18288    18285       -3     
==========================================
+ Hits         7830     7849      +19     
+ Misses       9456     9430      -26     
- Partials     1002     1006       +4     

Impacted Files	Coverage Δ
controller/appcontroller.go	51.11% <0.00%> (+2.07%)	⬆️
server/server.go	56.50% <0.00%> (+0.20%)	⬆️

---

Continue to review full report at Codecov.

Legend - Click here to learn more
Δ = absolute <relative> (impact), ø = not affected, ? = missing data
Powered by Codecov. Last update 2e8a8f0...f1cc07a. Read the comment docs.

[alexmt]

Thank you, @olegsu ! LGTM