We perform a global fit to the two Higgs doublet model (2HDM) with generic sources of flavour violation using \textsf{GAMBIT}. This is particularly interesting in light of significant deviations from the Standard Model predictions, such as the flavour anomalies $R(D^{(*)})$ and $b\to s\ell^+\ell^-$ and the indications for a charged Higgs with a mass of 130\,GeV in top quark decays at ATLAS. We include all relevant constraints from precision, flavour and collider observables in the global fit, and in particular recent constraints from both quark flavour violating searches at ATLAS and CMS, and lepton flavour violation from Belle II. We also consider the impact of recent developments related to the $W$ mass and muon $g-2$ observables. We find that it is possible to simultaneously explain both the charged and neutral flavour anomalies when excluding the values obtained by the CDF-II detector for the $m_{W}$ mass and when using the BMW lattice results for muon $g-2$. In contrast if we either assume there is still a large deviation in muon $g-2$ requiring new physics, or that the CDF-II measurement of the $W$ mass is correct, we find that a simultaneous explanation of all the anomalies is no longer possible. Finally we provide predictions that can probe or rule out the model in lepton flavour violating searches at Belle II and also in Higgs coupling strength measurements at the future HL-LHC.