[release-3.7] Fix unbounded io.ReadAll on peer lease HTTP handler body

[k8s-infra-cherrypick-robot]

This is an automated cherry-pick of #22132

/assign ahrtr

[kubernetes-prow]

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[ahrtr]

/ok-to-test

[codecov]

Codecov Report

❌ Patch coverage is 23.07692% with 10 lines in your changes missing coverage. Please review.
✅ Project coverage is 69.69%. Comparing base (7a4b47b) to head (dcbd6df).
⚠️ Report is 2 commits behind head on release-3.7.

Files with missing lines	Patch %	Lines
server/lease/leasehttp/http.go	23.07%	8 Missing and 2 partials ⚠️

Additional details and impacted files

Files with missing lines	Coverage Δ
server/lease/leasehttp/http.go	60.12% <23.07%> (-4.07%)	⬇️

... and 18 files with indirect coverage changes

@@               Coverage Diff               @@
##           release-3.7   #22147      +/-   ##
===============================================
+ Coverage        69.67%   69.69%   +0.01%     
===============================================
  Files              449      449              
  Lines            38186    38196      +10     
===============================================
+ Hits             26606    26620      +14     
+ Misses           10148    10147       -1     
+ Partials          1432     1429       -3     

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[ahrtr]

/retest

[kubernetes-prow]

[APPROVALNOTIFIER] This PR is APPROVED

This pull-request has been approved by: ahrtr, k8s-infra-cherrypick-robot

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