House Speaker Dade Phelan on Friday announced he is dropping his bid for another term leading the lower chamber, ending a bruising, months-long, intraparty push to remove him from power.Phelan, a Beaumont Republican, had previously insisted he had enough votes to thwart a challenge from the right led by state Representative David Cook, of Mansfield, a former ally.“Out of deep respect for this institution and its members, and after careful consideration and private consultation with colleagues, I have made the difficult decision to withdraw from the race for Speaker of the Texas House,” Phelan said in a statement. “By stepping aside, I believe we create the best opportunity for our members to rally around a new candidate who will uphold the principles that make our House…