fix: use getCaipNetworks method on Bitcoin adapter to find active caip network

[enesozturk]

Description

After connecting and switching network on Bitcoin, refreshing page switches AppKit back to Bitcoin Mainnet

Reproducing steps

• Go to https://appkit-lab.reown.com/library/bitcoin/
• Connect with Unisat Wallet
• Switch to Bitcoin Signet
• Refresh page
• See that AppKit switches back to Bitcoin back

Type of change

• Chore (non-breaking change that addresses non-functional tasks, maintenance, or code quality improvements)
• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)

Associated Issues

For Linear issues: Closes APKT-xxx
For GH issues: closes #...

Showcase (Optional)

If there is a UI change include the screenshots with before and after state.
If new feature is being introduced, include the link to demo recording.

Checklist

• Code in this PR is covered by automated tests (Unit tests, E2E tests)
• My changes generate no new warnings
• I have reviewed my own code
• I have filled out all required sections
• I have tested my changes on the preview link
• Approver of this PR confirms that the changes are tested on the preview link

[linear]

APKT-3657 Bob: Bitcoin adapter defaults to Bitcoin Mainnet on initialization

[changeset-bot]

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Latest commit: 8f54d45

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Project	Deployment	Preview	Comments	Updated (UTC)
appkit-basic-html	Ready	Preview	Comment	Aug 25, 2025 2:42pm
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Project	Deployment	Preview	Comments	Updated (UTC)
appkit-basic-example	Ignored			Aug 25, 2025 2:42pm
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appkit-basic-up-example	Ignored			Aug 25, 2025 2:42pm
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ethereum-provider-wagmi-example	Ignored			Aug 25, 2025 2:42pm
next-wagmi-solana-bitcoin-example	Ignored			Aug 25, 2025 2:42pm
vue-wagmi-example	Ignored			Aug 25, 2025 2:42pm

[Copilot]

Pull Request Overview

This PR fixes a bug where the Bitcoin adapter was not properly maintaining the selected network after page refresh. The fix ensures that when connecting to a specific chain, the adapter uses the available CAIP networks to find the active network instead of relying solely on the connector's chain list.

• Updates chain selection logic to use getCaipNetworks() method instead of connector.chains
• Ensures proper network persistence across page refreshes for Bitcoin connections

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[github-actions]

Coverage Report

Status	Category	Percentage	Covered / Total
🔵	Lines	78.41%	34745 / 44310
🔵	Statements	78.41%	34745 / 44310
🔵	Functions	76.21%	3823 / 5016
🔵	Branches	86.72%	8195 / 9449

File Coverage

File	Stmts	Branches	Functions	Lines	Uncovered Lines
Changed Files
packages/adapters/bitcoin/src/connectors/UnisatConnector/index.ts	97.51%	93.18%	100%	97.51%	52-53, 191, 214

Generated in workflow #14520 for commit 8f54d45 by the Vitest Coverage Report Action