chore: add init mode full default biding address

[mojtaba-esk]

Describe your changes and provide context

A change was done by #2903 was accidentally removed by #2793
This PR attempts to add them back + a doc change.

Testing performed to validate your change

[github-actions]

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Build	Format	Lint	Breaking	Updated (UTC)
✅ passed	✅ passed	✅ passed	✅ passed	Feb 18, 2026, 4:24 PM

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 48.38%. Comparing base (7f6c8c4) to head (1dec1a2).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2913   +/-   ##
=======================================
  Coverage   48.38%   48.38%           
=======================================
  Files         671      671           
  Lines       50621    50621           
=======================================
  Hits        24491    24491           
  Misses      23984    23984           
  Partials     2146     2146           

Flag	Coverage Δ
sei-cosmos	48.19% <ø> (ø)
sei-db	68.72% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

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[codecov]

Codecov Report

❌ Patch coverage is 0% with 3 lines in your changes missing coverage. Please review.
✅ Project coverage is 57.32%. Comparing base (0d430cb) to head (5062931).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
cmd/seid/cmd/init.go	0.00%	3 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##             main    #2913       +/-   ##
===========================================
+ Coverage   48.38%   57.32%    +8.94%     
===========================================
  Files         671     2089     +1418     
  Lines       50621   172182   +121561     
===========================================
+ Hits        24491    98699    +74208     
- Misses      23984    64687    +40703     
- Partials     2146     8796     +6650     

Flag	Coverage Δ
sei-chain	52.80% <0.00%> (?)
sei-cosmos	48.19% <ø> (ø)
sei-db	68.72% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

Files with missing lines	Coverage Δ
cmd/seid/cmd/init.go	26.17% <0.00%> (ø)

... and 1539 files with indirect coverage changes

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.
• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.