[frontend] use client time for last ping date in sse client (#2126)

[guillaumejparis]

Proposed changes

Related issues

• Closes Infinite Request Loop on Home Page #2126

Checklist

• I consider the submitted work as finished
• I tested the code for its functionality
• I wrote test cases for the relevant uses case
• I added/update the relevant documentation (either on github or on notion)
• Where necessary I refactored code to improve the overall quality
• For bug fix -> I implemented a test that covers the bug

Further comments

If this is a relatively large or complex change, kick off the discussion by explaining why you chose the solution you did and what alternatives you considered, etc...

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 32.64%. Comparing base (b635306) to head (2fad952).
Report is 11 commits behind head on release/1.11.0.

Additional details and impacted files

@@                 Coverage Diff                  @@
##             release/1.11.0    #2187      +/-   ##
====================================================
+ Coverage             32.51%   32.64%   +0.12%     
- Complexity             1511     1514       +3     
====================================================
  Files                   581      581              
  Lines                 18063    18063              
  Branches               1158     1158              
====================================================
+ Hits                   5874     5896      +22     
+ Misses                11925    11903      -22     
  Partials                264      264              

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