chore(database): enhance error handling (#10279)

This PR enhances error handling in the database package by introducing
custom error types that wrap dialect-specific errors, providing better
abstraction and context for error handling across the application.

* Introduces standardized custom error types for common database errors
(no rows found, integrity violations, etc.)
* Wraps all PostgreSQL-specific errors at the dialect layer to provide
consistent error handling

# Which Problems Are Solved

The database package didn't wrap the errors from dialect specifc
packages.

# How the Problems Are Solved

Custom errors were added which wrap the dialect specifc errors.

---------

Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>

backend/v3/storage/database/dialect/postgres/config.go

@@ -41,10 +41,10 @@ type Config struct {
 func (c *Config) Connect(ctx context.Context) (database.Pool, error) {
 	pool, err := c.getPool(ctx)
 	if err != nil {
-		return nil, err
+		return nil, wrapError(err)
 	}
 	if err = pool.Ping(ctx); err != nil {
-		return nil, err
+		return nil, wrapError(err)
 	}
 	return &pgxPool{Pool: pool}, nil
 }