Rights to a speedy trial

I was arrested in charge with felony in 2022. My lawyer advised me that if we go to trial. We will not win this case. I have no criminal record before this incident. I’ve been law, abiding citizen all my life and maintain a full-time job throughout this time. My lawyer told me let’s write a letter to DA to asked for a 5 yrs probation because we know it was a losing case and because it was my first time offense, we was hoping that the DA will agree to a five-year probation. The letter was submitted in the beginning of 2024 with no reply from the DA. My lawyer advised me to waiting for 30/30. We needed 181 days before my lawyer can submit paper to dismiss the charges. According to my lawyer, we had more than 181 days without a trial, and we believe my rights to a speedy trial, and were. We submitted paperwork to have the chargers drop and now is up to the judge. On our last court date the judge said that the charges were not going to be dismissed. The judge explained that the DA was ready for trial on September 28, 2024. Which is not the case at all I was there my lawyer was there. The judge was there the DA was never ready has never been ready, but according to the judge they were. So now after 2 years waiting. My next court date will be my trial date according to what my lawyer says. Did I say I had a public defender? The only time that I get to speak to my lawyer is on court date and I didn’t want to go to trial. The DA has changed 3 times in the last two years. In this chaos I believe is why my case has been postponed so many times…

Can I ask for a new lawyer on trial day if I feel my lawyer is to busy and don’t have the time for me? And if I believe that my rights were violated for a speedy trial. What should be my next step?