Yes, file a claim against the warranty AND file a claim with the local Contractors Builders Board (CBB). It may be called something different in your area.
All contractors are required to be licensed with the CBB in their state. If you don’t know how to contact them, ask your local Building Department.
The CBB will assign a claim number and help mediate a settlement.
I don’t know how the contractor would know why it’s leaking due to a plugged drain tile.
Moisture is either coming up from below (a rising water table) or its coming from the surrounding ground water in the saturated soil, or both.
If it comes up from a rising water table, it will enter the living space from below through the crack between the foundation wall and slab.
If it comes from the surrounding ground water, it COULD enter the living space through the wall, especially if the EXTERIOR side of the foundation wall is not sealed properly.
Either way the moisture enters the living space it will need to be collected and disposed. I think the best way to collect it is on the exterior side of the foundation wall in drainrock and a perf pipe laid 6”-8” below the interior basement slab.
To keep the subsurface water from seeping through the wall, I recommend installing a moisture barrier on the exterior side of the foundation wall and install a 2” thick plastic mesh on the wall to allow water to flow down to the perf pipe. If dirt is allowed to be backfilled against the wall, the dirt could hold the moisture giving it a chance to seep through the wall.
Once collected it needs to be disposed by extending a solid pipe over an embankment or in a collection well and pumped away.
This may be the most expensive method of solving the problem, but it’s sure to work.
Note: I would start a journal listing the dates of the leaks, estimate of quantity of water (location and size), pictures documenting extent of leak, and weather conditions (amount of rain per day, etc.).