As we explained in your other threads, Web Forms does not work well with standard HTML and jQuery/JavaScript. Web Forms uses a post back pattern and server controls to update the user interface. It is much easier to use the tools that come with Web Forms to show and hide server control buttons.
Move to MVC or Razor Pages fi you want to build modern JavaScript applications.
With that being said, you did not share enough code to figure out what mistakes you are making. I created a simple test by coping your code and the buttons are hidden as expected. Of course, the jQuery code hides all elements with the dt-button class. Make an effort to debug your code. Or, as we ask in all your recent threads, share enough code to reproduce the problem. Otherwise, we are left guessing.
<%@ Page Language="C#" AutoEventWireup="true" CodeBehind="ShowHide.aspx.cs" Inherits="WebFormsDemo.JSDemos.ShowHide" %>
<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head runat="server">
<title></title>
<script src="https://code.jquery.com/jquery-3.6.3.js" integrity="sha256-nQLuAZGRRcILA+6dMBOvcRh5Pe310sBpanc6+QBmyVM=" crossorigin="anonymous"></script>
</head>
<body>
<form id="form1" runat="server">
<div>
<div id="ContentPlaceHolder1_PSdiv">
<div class="row">
<div class="table-responsive">
<div id="example_wrapper" class="dataTables_wrapper no-footer">
<div class="dt-buttons">
<button class="dt-button buttons-collection" tabindex="0" aria-controls="example" type="button" aria-haspopup="true" aria-expanded="false">
<span>Export</span>
</button>
<button class="dt-button buttons-copy buttons-html5" tabindex="0" aria-controls="example" type="button"><span>Copy</span></button>
<button class="dt-button buttons-print" tabindex="0" aria-controls="example" type="button"><span>Print</span></button>
</div>
<div id="example_filter" class="dataTables_filter">
<label>Search:<input type="search" class="" placeholder="" aria-controls="example"></label></div>
<table class="display dataTable no-footer" id="example" role="grid" aria-describedby="example_info">
<thead>
<tr role="row">
<th class="sorting sorting_asc" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-sort="ascending" aria-label="Branch Code: activate to sort column descending" style="width: 141px;">Branch Code</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label="Entred Datetime: activate to sort column ascending" style="width: 183px;">Entred Datetime</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label="Order Type: activate to sort column ascending" style="width: 126px;">Order Type</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label="Printer_name: activate to sort column ascending" style="width: 409px;">Printer_name</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label="Status: activate to sort column ascending" style="width: 79px;">Status</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label="id: activate to sort column ascending" style="width: 50px;">id</th>
<th class="sorting" tabindex="0" aria-controls="example" rowspan="1" colspan="1" aria-label=": activate to sort column ascending" style="width: 34px;">
<input id="ContentPlaceHolder1_chkHeader" type="checkbox" name="ctl00$ContentPlaceHolder1$chkHeader"></th>
</tr>
</thead>
<tbody>
<tr>
<td>
<input id="ContentPlaceHolder1_repPSStatus_chkSel_9" type="checkbox" name="ctl00$ContentPlaceHolder1$repPSStatus$ctl09$chkSel">
</td>
</tr>
</tbody>
</table>
<div class="dataTables_info" id="example_info" role="status" aria-live="polite">Showing 1 to 10 of 4,493 entries</div>
<div class="dataTables_paginate paging_simple_numbers" id="example_paginate"><a class="paginate_button previous disabled" aria-controls="example" data-dt-idx="0" tabindex="-1" id="example_previous">Previous</a><span><a class="paginate_button current" aria-controls="example" data-dt-idx="1" tabindex="0">1</a><a class="paginate_button " aria-controls="example" data-dt-idx="2" tabindex="0">2</a><a class="paginate_button " aria-controls="example" data-dt-idx="3" tabindex="0">3</a><a class="paginate_button " aria-controls="example" data-dt-idx="4" tabindex="0">4</a><a class="paginate_button " aria-controls="example" data-dt-idx="5" tabindex="0">5</a><span class="ellipsis">…</span><a class="paginate_button " aria-controls="example" data-dt-idx="6" tabindex="0">450</a></span><a class="paginate_button next" aria-controls="example" data-dt-idx="7" tabindex="0" id="example_next">Next</a></div>
</div>
</div>
</div>
</div>
</div>
</form>
<script>
$(document).ready(function () {
$('.dt-button').hide();
});
</script>
</body>
</html>