How to render and binding data to sub component into a template string

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Javascript

HTML

vue.js

I have a component on my html file and template string (this template is loaded from DB and it have some sub component into).

when I render this template to my component,
How to I can binding data from model to sub component on template string?

With below code, I can't set data to option of sub component: cus-option-label and cus-option-input.
I don't have a lot of experience on Vue.js and thymeleaf. please help me fix this case.

Thank you.

My code:

Component of html file:

<div class="area-general-wrap" id="optForm">
        <form ref="optForm" class="frm-set" th:object="${optForm}" method="post">
            <cus-option-table class="tbl-frm" role="presentation"
                            th:input-html-text="${inputHtmlText}">
            </cus-option-table>
        </form>
</div>

Template string:

<table> 
    <tr>
        <td><cus-option-label  th:option="${option.get('2')}"></cus-option-label></td>
        <td><cus-option-input  th:option="${option.get('2')}"></cus-optpion-input></td>
    </tr>   
</table>

js code:

var faOptionTable = Vue.extend({
	template: '',		
	methods: {
		changeTemplate: function() {
			var template = faOptionTableDefaultTemplate;
			if (this.actionType === "0" && this.inputLayoutHtmlText != null && this.inputLayoutHtmlText.trim() !== "") {
				template = this.inputLayoutHtmlText;
			} else if (this.actionType === "1" && this.confirmLayoutHtmlText != null && this.confirmLayoutHtmlText.trim() !== "") {
				template = this.confirmLayoutHtmlText;
			}
			setTimeout(function() {
		    	this.template = Vue.compile(template).render;
		    }.bind(this), 0);
		}
	},
	render: function(createElement) {
		if (!this.template) {
			return createElement('div', 'Loading...');
		} else {
			return this.template();
		}
	},
	
	mounted: function() {
		this.changeTemplate();
	},
	components: {
		"fa-option-label": faOptpionLabel,
		"fa-option-input": faOptpionInput
	}
});

What I have tried:

I am working on Vue.js and thyme leaf