sorry for posting an answer, i don't have the required level to comment

first, I am sorry to tell you that even if you update the javascript file in real time, its content will not load on the web.

but you can send the updated sensor data via WebSocket server to the javascript client and then update your interface

this is a little WS library i have done before, its simple but functional

export const ws = (url) => {
    let ws = null
    let connectListeners = []
    let receiveListeners = []
    let retryCount = 1
    const api = {
        connect(newUrl, attemps = -1) {
            if (ws != null) {
                ws.onmessage = null
                ws.onerror = null
                ws.onclose = null
                ws.onopen = null
            }
            return new Promise((resolve, reject) => {
                ws = new WebSocket(newUrl || url)
                ws.onopen = (e) => {
                    connectListeners.forEach(cbk => {
                        cbk(e)
                    })
                    resolve(api)
                }
                ws.onmessage = (e) => {
                    let data = e.data
                    try {
                        data = JSON.parse(data)
                    } catch (e) {}

                    receiveListeners.forEach(cbk => {
                        cbk(data)
                    })
                }
                ws.onerror = (e) => {
                    if (attemps > 0 && retryCount < attemps) {
                        retryCount++
                        api.connect(newUrl, attemps)
                    } else if (attemps < 0) {
                        api.connect(newUrl, attemps)
                    } else {
                        reject(e)
                    }
                }
            })
        },
        onconnect(e) {
            connectListeners.push(e)
        },
        onreceive(e) {
            receiveListeners.push(e)
        },
        send(data) {
            if (ws.readyState == WebSocket.OPEN) {
                ws.send(JSON.stringify(data))
            }
            return this;
        },
        close(forced = false) {
            if (forced) {
                this.connect()
            } else {
                ws.close()
            }
            return this;
        }
    }
    return api;
}

and then you can use it as follow

const wsClient = ws('ws://your-esp32-ip/')
wsClient.onreceive(function(data){
    console.log(data)
})
wsClient.connect() // you can pass a new connection url and number of connection attemps