I recommend you use the Thymeleaf "extras" library for handling Java 8's java.time classes, and avoid anything related to the old and flawed java.util.Date class.
The library:
Thymeleaf - Module for Java 8 Time API compatibility
If you are using Maven, you can add it to your project using the following dependency:
<dependency>
<groupId>org.thymeleaf.extras</groupId>
<artifactId>thymeleaf-extras-java8time</artifactId>
<version>3.0.4.RELEASE</version>
</dependency>
Otherwise you can download the JARs manually from here.
Once you have installed the new JAR, you can use this:
${#temporals.createNowForTimeZone(zoneId)} // return a instance of java.time.ZonedDateTime
For example, as follows:
<div th:text="${#temporals.createNowForTimeZone('Asia/Dhaka')}"></div>
Or, using the syntax in your question, as follows:
[[${#temporals.createNowForTimeZone('Asia/Dhaka')}]]
Example output:
2022-05-19T18:57:32.190245400+06:00[Asia/Dhaka]
That was generated for the target timezone, when my local datetime was Thu May 19 08:57:32 EDT 2022.
Note about zone IDs:
You can read about valid zone IDs here. In your case, you need to be careful to match the exact case of the ID text - so it has to be Asia/Dhaka - not ASIA/DHAKA.
See also Where is the official list of zone names for java.time?
Note about formatting
There is a chance that you are going to want to format the date string, in which case take a look at the various #temporals.format() functions listed here.
But you may also want to consider formatting the string in Java, to keep your Thymeleaf template less cluttered.