Back button doesn't work with elements synced with query params

Checklist

• I have searched the existing issues for similar issues.
• I added a very descriptive title to this issue.
• I have provided sufficient information below to help reproduce this issue.

Summary

When pressing the browser back button, the streamlit script does not reexecute, so elements synced with st.query_params do not refresh

Reproducible Code Example

import streamlit as st

num_elements = 10

st.set_page_config(page_title="Mock element Slider", layout="centered")

element_ids = [f"mock-element-{i:02d}" for i in range(num_elements)]
element_to_idx = {element_id: idx for idx, element_id in enumerate(element_ids)}

url_element_id = st.query_params.get("element_id")
if (
    "mock_element_id" not in st.session_state
    or st.session_state["mock_element_id"] not in element_to_idx
):
    st.session_state["mock_element_id"] = (
        url_element_id if url_element_id in element_to_idx else element_ids[0]
    )

with st.container(key="mock-element-slider"):
    st.select_slider(
        "element",
        options=element_ids,
        key="mock_element_id",
        label_visibility="collapsed",
    )

st.query_params["element_id"] = st.session_state["mock_element_id"]

current_element_id = st.session_state["mock_element_id"]
current_idx = element_to_idx[current_element_id]
with st.popover(f"element `{current_element_id}`"):
    st.markdown(f"({current_idx}/{num_elements})")

Steps To Reproduce

1. Create a streamlit app with the above code, and go to http://localhost:8501/?element_id=mock-element-3
2. Drag the element to mock-element-5
3. Press the browser back button.

Expected Behavior

You would expect the slider to go back to mock-element-3

Current Behavior

The slider stays at mock-element-5

Is this a regression?

• Yes, this used to work in a previous version.

Debug info

• Streamlit version:
• Python version:
• Operating System:
• Browser:

Additional Information

I've previously seen https://github.com/streamlit/streamlit/issues/9279, which looks related but is different and doesn't resolve this issue