You would need to use data-testid not data-qa. PrimeNG passes through data-testid to the browser.

Playwright then uses it in getByTestId().

See Playwright docs - locate-by-test-id

Locate by test id

<button data-testid="directions">Itinéraire</button>

await page.getByTestId('directions').click();

Here is the PrimeNG sample with data-testid added

data-qa is similarly passed through in the app, but Playwright does not use it.

Here is the point where Playwright applies getByTestId()

// locator.ts, line 155
getByTestId(testId: string | RegExp): Locator {
  return this.locator(getByTestIdSelector(testIdAttributeName(), testId));
}

// locator.ts, line 441
let _testIdAttributeName: string = 'data-testid';   // must be this attribute

export function testIdAttributeName(): string {
  return _testIdAttributeName;
}