EMB-190 pilot reported ACARS and dual bleed air failure lead to pressurization failure resulted in descent and troubleshooting. Crew reported regaining bleed pack with return to original clearance.

Narrative

Climbing out of ZZZ through FL200; we experienced a BLEED 2 FAIL EICAS; and associated master caution. BLEED 1 was inoperative and MELd. A level off at FL220 was requested. Captain was pilot flying. FO (First Officer) was pilot monitoring. Captain retained control and took the radios. Captain called for BLEED 2 FAIL QRH. QRH was executed. BLEED 2 reset. 5 minutes later BLEED 2 failed; again. Descent to 10;000 was requested. [Priority handling was requested] for priority descent. FO was assigned pilot. Flying and radios. Cabin altitude started to climb. APU was started. Inflight was notified of the situation and to take their seats via cabin call inter phone. A higher alert level was reached. The passengers were doing fine. Through 15;000; the cabin began to repressurize. Cabin Altitude began to descend. The highest cabin altitude noted was 8;500. ACARS was also inoperative in MEL. Multiple attempts were made to reach Dispatch on XXX.X. A phone patch was set up through to Dispatch. By the time we were able to communicate pressurization had stabilized. We were past ZZZ1. It was established we would continue to ZZZ2. With the needs of the descent and cabin pressure met; the [priority handling] was canceled. Inflight was contacted; again to advise them of the status of the aircraft; and no need for higher alert level. Passenger status was requested. Passengers were fine. The flight continued to an uneventful landing in ZZZ.