Press your lips together to stop the air, then release. No vocal cord vibration.

Americans pronounce pathway as PATH-way (/ˈpæθˌweɪ/). Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "She landscaped the backyard with native plants and a stone pathway".
Record yourself saying "pathway" and play it back. The mic stays on your device — nothing's uploaded.
2 syllables, 5 sounds. Tap a syllable to jump to its row, then explore each sound's mouth shape and how it's made.
Press your lips together to stop the air, then release. No vocal cord vibration.

Drop the jaw noticeably. Keep the body of the tongue low and forward, and don't let the back of the tongue raise toward the soft palate. Pull the lip corners back slightly, almost a starting smile.

Place the very tip of your tongue slightly between your teeth. Blow air gently around it without voicing.

Round your lips into a tight circle. Lift the back of your tongue toward the soft palate and add voice.

Start with your jaw slightly open and the front of your tongue forward and slightly up. Glide upward, your jaw closes a little more and your tongue arches higher toward the roof of the mouth.
The textbook way isn't wrong — it's just not how anyone actually says it.
Stress falls on the first syllable, not the others. Stretch PATH — keep everything else short and quick.