Will you be discouraged in your practice that you have to go through a period of Infinite Lives ahead of you?
Conversely, would you have the thinking that since we have Infinite Lives, it is easier to take our time with our practice and enjoy the moment first?
In Master Ri-Chang’s Lamrim Commentary Track 131a, there is a relevant passage to me that addresses how we should work with the concept of an immeasurable period of time:
The rough English translation provided in the commentary is:
Likewise, do not become discouraged even by being delayed in cyclic existence for an immeasurable length of time, because a long length of time is not in itself a reason to be disheartened. If suffering is extremely intense, even a brief period of it is disheartening. But if there is no suffering and you are happy, even a long time is not disheartening.
Recently, Venerable Ru Jun also brought up some points on Infinite Lives:
From 1:50 min to 2:50 min mark of this video:
and from the 6:30 min to 8:15 min mark of this video: