In Jain practice, the Pachkan (pratyakhyan) you take depends on your tradition and the specific upvas you are doing. Rough guidance for the time you mentioned:

• Navkarsi (48 minutes after sunrise) is the earliest common window many Shwetambar communities use to begin eating after a fast ends. If you are still well before that time, you would typically wait. If you’ve already crossed that window, you move to the next standard pachkhan timings. Navkarsi is a standard reference point for many communities. You can read more about the general timing here.

• Porsi Pachkhan (about one prahar after sunrise, roughly 3 hours after sunrise) is another common choice for opening the fast. Since you mentioned about 2 hours 20 minutes after sunrise, this would be close to the Porsi window in many sampradas. For a detailed description, see this page. and you can also view a practical outline of Porsi Pachkhan here.

• Digambar/Shwetambar differences: Shwetambar often follows Navkarsi and then a Porsi-like window; Digambar communities may have slightly different kaal (time) windows for parana. Always align with your local sangh’s parna timing and the guidance of a guru or elder in your community. See general notes on pachchakhan timing here.

Summary answer: at about 2 hours 20 minutes after sunrise, the most common Pachkan to consider for opening the fast would be the Porsi Pachkhan (about 3 hours after sunrise) if you follow the typical post-sunrise windows, but verify with your local sangh and tradition. If your sangh uses Navkarsi timing for the meal window, you would plan accordingly. For precise guidance, check with your temple or guru and refer to your Panchang for that day.