Clarifaction of testing terms

Sorry if this qustion is too broad or something. But really don't know where to get reliable feedback on this.

Consider the following:

• You have a blackbox platform over witch you have little or no knowlage.
• You have a Buisness logic plugin that you develop. that plugs into the -blackbox.
• You can not mock test the plugin since the classeses (ins and outs) are not designed that way to make that possible
• Your testing enviroment is a proxy that can triger service calls to your backend. and then asert the outputs.

Use case:

• You create a function on the plugin that takes A and B and writes a multiplication on C
• You write your test againts that proxy as Set:{A:1, B:2},
• You Asert:{C:2}

As what would you clasify such a test?

• Module test
• Component test
• Integration test
• System test