Will the printer wake up from sleep mode when trying to print thru Wi-Fi?

I purchased a wireless printer year ago and am looking to upgrade as i am having many issues printing via Wi-Fi. With my current printer (not HP) I need to walk over to my printer and wake it up form energy saving mode and wait for it to reconnect to the Wi-Fi before making any attempts to printer. Otherwise I will end up with an error message that won’t go away until I reboot the printer.
My questions are will this printer work without me having to physically walk over to the printer and wake it up? Dose the Airplay wake up the system automatically and begin printing once it is warmed up? Also, when it claims to allow printing from anywhere does this mean I can print from my phone as long as I have internet connection or does this mean anywhere as long as I am connected to Wi-Fi.

HP Color LaserJet Pro MFP M277dw Multifunction Printer

HP Color LaserJet Pro MFP M277dw Multifunction Printer

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