# Doubt about Lagrange Multiplier Statistics for q exclusions restrictions

For obtaining the Lagrange Multiplier Statistics I follow this steps (Wooldridge 2019, Introductory Econometrics):

1. Regress $$y$$ on the restricted set of independent variables and consider the residuals $$\tilde{u}$$;
2. Regress $$\tilde{u}$$ on all of the independent variables and obtain the R-squared $$R^2_u$$
3. Compute $$LM=n\cdot R^2_u$$
4. Compare $$LM$$ to the appropriate critical value, $$c$$, in a $$\chi_q^2$$ distribution: if $$LM>c$$ the null hypothesis is rejected and all the coefficients.

My doubt is about point 2., I don't understand if I should include an intercept in regressing the $$\tilde{u}$$ on the independent variables or not. If I do include the intercept the resulting $$R^2_u$$ is the same as the one from the unrestricted regression.