Fix the database path and add the instructions for Web E2E Tests

[AsherJingkongChen]

Fix the database path and add the instructions for Web E2E Tests

Description

As the title says.

Besides, you can run Web E2E tests by running the command bun run test-e2e or NPM equivalent in the web submodule.

Motivation or Context

• Fix the database path
  • More robust settings. Specifically, it fixed errors during Web E2E tests.
• Add the instructions for Web E2E Tests
  • E2E tests would be useful for checking basic concepts.

Checklist

Item	Is checked?	Description
Explanation	O	My changes are well-explained.
Documentation	O	My works are well-commented or clear.
Tests	O	I have added tests or reports to cover my changes.