b$)$ Econometrician Mr$.$ Spurious thinks that there is another factor $f_{3,t},$ and runs the following regression

$r_t=+{}_1{f}_{1,t}+{}_2{f}_{2,t}+{}_3{f}_{3,t}+{}_t$

Are hat$({)}_1$ and hat$({)}_2$ in $(3)$ unbiased estimators of ${}_1$ and ${}_2$ in model $(1)?$ Are they consistent?