A LAM in AirMech mode gets +1 for being an AirMech and +1 when airborne. An AirMech using WiGE movement, so it is an airborne WiGE.
A STG-A5 Stinger LAM has a TMM of 2. In BattleMech mode, it has TMM 2.
in AirMech mode, it has +1 TMM, for a TMM of 3. If it's then airborne (which is almost always will be), there's a +1 to targeting airborne WiGE. Not that a unit type modifier is not the TMM (so precision wouldn't take it into account). Not really relevant to this example, but noting that the +1 for targeting airborne WiGE and +1 TMM for being in AirMech mode are not the same modifier.
Another note, the 2015 ruling is pre-AS:CE, which disconnected TMM from MV (during gameplay). The 36"g MV of a Stinger AirMech is not part of the TMM calculation. The TMM on the unit card, and whether it is in AirMech mode and/or currently airborne are the factors for TMM.