Vector Algebra: JEE Main 2023 Mathematics question

Let $\overrightarrow a$, $\overrightarrow b$ and $\overrightarrow c$ be three non-zero non-coplanar vectors. Let the position vectors of four points $A,B,C$ and $D$ be $\overrightarrow a - \overrightarrow b + \overrightarrow c ,\lambda \overrightarrow a - 3\overrightarrow b + 4\overrightarrow c , - \overrightarrow a + 2\overrightarrow b - 3\overrightarrow c$ and $2\overrightarrow a - 4\overrightarrow b + 6\overrightarrow c$ respectively. If $\overrightarrow {AB} ,\overrightarrow {AC}$ and $\overrightarrow {AD}$ are coplanar, then $\lambda$ is equal to __________.