Use the given context on F3 broadcast message

[masih]

Respect the given context when broadcasting messages in F3 instead of using the internal running context.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 76.30%. Comparing base (9ec9a0e) to head (2dafa25).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #706      +/-   ##
==========================================
- Coverage   76.54%   76.30%   -0.24%     
==========================================
  Files          69       69              
  Lines        5584     5584              
==========================================
- Hits         4274     4261      -13     
- Misses        901      912      +11     
- Partials      409      411       +2     

Files with missing lines	Coverage Δ
f3.go	67.88% <100.00%> (ø)
host.go	66.60% <100.00%> (-3.50%)	⬇️

... and 2 files with indirect coverage changes