FIR Filters - Type 3
A type 3 FIR filter has odd symmetry and an odd number of taps. For this reason it has frequency response zeros at $\omega=0$ (DC) and $\omega=\pi$ (Nyquist), corresponding to transfer function zeros at $z=1$ and $z=-1$:

$$H(1)=\sum_{n=-M}^{M}h[n]=0\\
H(-1)=\sum_{n=-M}^{M}(-1)^nh[n]=0$$

where $N=2M+1$ is the filter length. So it can neither be used as a high pass nor as a low pass filter.

Apart from that, the phase shift of $\pi/2$ caused by the odd symmetry is usually undesirable for frequency-selective filters. You could use such a filter for implementing Hilbert transformers or differentiators.