Maybe do a test.. Do you have a light meter and a volt meter?
I have an unprotected 18350 IMR in one of my lights, that has no built in OverDischarge protection.
I wanted to know how low the voltage would be, when the light went noticeably dim (no high mode, no medium mode, and low mode dimmer than usual)
I ran the light on high mode, and used a voltmeter and a light meter, every 10 minutes.
I learned that my light will dim to about 1 lumen, below 2.8v (modes on a full LiIon charge are 5-50-200)
that gave me confidence that I would notice the loss of the other modes, long before the cell went below 2.8...
In practice one of the things I also noticed is that in conditions where I would usually use medium mode, If the battery is run down, I find myself switching to high mode, because medium is too dim.. then I realize I have no high mode, and that I need to charge the battery. Sometimes I notice when High mode is too dim, but I don't use that mode as often..
Enjoy your Beagle!